Computational Modeling of the Waves Propagation in a Block Medium With Viscoelastic Interlayers


Abstract eng:
In the framework of mathematical model of a block medium with elastic blocks interacting through compliant viscoelastic interlayers and its approximation on the basis of equations of the Cosserat continuum, the problems of periodic perturbation of a layer and of a half-space under the action of distributed and localized surface loads are solved numerically. The simple formulas are suggested to determine the elasticity coefficients of the moment continuum by given characteristics of the materials of blocks and interlayers, which provide a good correspondence of the wave fields received by means of the exact and approximate models. Parallel computational algorithms, based on models of the inhomogeneous elasticity theory and the Cosserat elasticity theory, are applied to the analysis of propagation of elastic waves in geomaterials with layered and block microstructure. These algorithms are realized as parallel program systems for GPUs (using CUDA technology) and for multiprocessor computers of the cluster type (using MPI library). Monotone grid-characteristic schemes with a balanced number of time steps in elastic layers or blocks and in viscoelastic interlayers are used. By the analysis of numerical solutions it is shown that the multiblock medium has a resonant frequency of rotational motion of blocks, and this frequency does not depend on the size of a massif and on the boundary conditions at its surface.

Contributors:
Publisher:
National Technical University of Athens, 2013
Conference Title:
Conference Title:
COMPDYN 2013 - 4th International Thematic Conference
Conference Venue:
Island of Kos (GR)
Conference Dates:
2013-06-12 / 2013-06-14
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2016-11-15, last modified 2016-11-15


Original version of the author's contribution as presented on CD, section: CD-RS 33 WAVES AND COMPUTATION .:
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